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Finding the Fourth Proportional to 138,805.96, 191,552.28 and 75,143.75

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Solution

The fourth proportional to 138,805.96, 191,552.28 and 75,143.75 is: 103,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,805.96 : 191,552.28 = 75,143.75 : x
  2. Step 2: Convert to fraction form
    138,805.96/191,552.28 = 75,143.75/x
  3. Step 3: Cross multiply
    138,805.96x = 191,552.28 × 75,143.75
  4. Step 4: Simplify right side
    138,805.96x = 14,393,956,640.25
  5. Step 5: Solve for x
    x = 14,393,956,640.25/138,805.96
  6. Step 6: Final answer
    x = 103,698.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.